RBSE Solutions for Class 7 Maths Chapter 5 Powers and Exponents Ex 5.1

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RBSE Solutions for Class 7 Maths Chapter 5 Powers and Exponents Ex 5.1 is part of RBSE Solutions for Class 7 Maths. Here we have given Rajasthan Board RBSE Class 7 Maths Chapter 5 Powers and Exponents Exercise 5.1.

Board RBSE
Textbook SIERT, Rajasthan
Class Class 7
Subject Maths
Chapter Chapter 5
Chapter Name Powers and Exponents
Exercise Ex 5.1
Number of Questions 6
Category RBSE Solutions

Rajasthan Board RBSE Class 7 Maths Chapter 5 Powers and Exponents Ex 5.1

Question 1
Express the following in (RBSESolutions.com) terms of exponents
(i) 7 x 7 x 7 x 7 x 7
(it) 3 x 3 x 3 x 7 x 7
(iii) a x a x a x b x b
(iv) 5 x 5 x t x t x t
Solution:
(i) 7 x 7 x 7 x 7 x 7 = 75
(ii) 3 x 3 x 3 x 7 x 7 = (3 x 3 x 3) x (7 x 7) = 33 x 72
(iii) a x a x a x b x b = (a x a x a) x (b x b) = a3 x b2
(iv) 5 x 5 x t x t x t = (5 x 5) x (t x t x t) = 52 x t3

RBSE Solutions

Question 2
Express each of the following (RBSESolutions.com) number in the form of exponents :
(i) 32
(ii) 81
(iii) 343
(iv) 125
Solution:
(i) 32 = 2 x 2 x 2 x 2 x 2 = 25
RBSE Solutions for Class 7 Maths Chapter 5 Powers and Exponents Ex 5.1

(ii) 81 = 3 x 3 x 3 x 3 = 34
RBSE Solutions for Class 7 Maths Chapter 5 Powers and Exponents Ex 5.1

(iii) 343 =7 x 7 x 7 = 73
RBSE Solutions for Class 7 Maths Chapter 5 Powers and Exponents Ex 5.1 img 1

(iv) 125 = 5 x 5 x 5 = 53
RBSE Solutions for Class 7 Maths Chapter 5 Powers and Exponents Ex 5.1 img 2

Question 3
Identify the greater (RBSESolutions.com) number in the following:
(i) 25 or 52
(ii) 35 or 53
(iii) 310 or 103
(iv) 73 or 37
Solution:
(i) 22 or 52
25 = 2 x 2 x 2 x 2 x 2 = 32
and 52 = 5 x 5 = 25
Clearly 32 > 25 ⇒ 25 > 52
अतः 25 greater (RBSESolutions.com) number

(ii) 35 or 53
35 = 3 x 3 x 3 x 3 x 3 = 243
and 53 = 5 x 5 x 5 = 125
Clearly 243 > 125 or 35 > 53
∴ 35 greater number

(iii) 310 or 103
310 = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3
= 243 x 243 = 59049
and 103 = 10 x 10 x 10 = 1000
Clearly 59049 >1000 or 310 > 103
∴ 310 greater (RBSESolutions.com) number

(iv) 73 or 37
∴ 73 = 7 x 7 x 7 = 343
and 37 =3 x 3 x 3 x 3 x 3 x 3 x 3 = 2187
Clearly 2187 > 343 or 37 > 73
∴ 37 greater number.

Question 4
Express the following (RBSESolutions.com) numbers in terms factors :
(i) 324
(ii) 625
(iii) 1080
(iv) 1800
Solution:
(i) On factorizing by division method
RBSE Solutions for Class 7 Maths Chapter 5 Powers and Exponents Ex 5.1 img 3
∴ 324 = 2 x 2 x 3 x 3 x 3 x 3
= 22 x 34

(ii) On factorizing by (RBSESolutions.com) division method
RBSE Solutions for Class 7 Maths Chapter 5 Powers and Exponents Ex 5.1
∴ 625 = 5 x 5 x 5 x 5
= 54

(iii) On factorizing by division method
RBSE Solutions for Class 7 Maths Chapter 5 Powers and Exponents Ex 5.1
∴1080 = 2 x 2 x 2 x 3 x 3 x 3 x 5
= 23 x 33 x 5

(iv) On factorizing by (RBSESolutions.com) division method
RBSE Solutions for Class 7 Maths Chapter 5 Powers and Exponents Ex 5.1
∴ 1800 = 2 x 2 x 2 x 3 x 3 x 3 x 5
= 23 x 32 > 52

RBSE Solutions

Question 5
Simplify the (RBSESolutions.com) following :
(i) 2 x 34
(ii) 73 x 5
(iii) 53 x 22
(iv) 32 x 102
(v) 0 x 104
Solution:
(i) 2 x 34 = 2 x 3 x 3 x 3 x 3 = 162
(ii) 73 x 5 = 7 x 7 x 7 x 5 = 1715
(iii) 53 x 22 = 5 x 5 x 5 x 2 x 2 = 500
(iv) 32 x 103 = 3 x 3 x 10 x 10 x 10 = 9000
(v) 0 x 104 = 0 x 10 x 10 x 10 x 10 = 0

Question 6
Find the (RBSESolutions.com) values of:
(i) (-1)3
(ii) (- 5)4
(iii) (-4)2 x (-2)3
Solution:
(i) (-1)3 = (-1) x (-1) x (-1) = -1
(ii) (-5)4 = (-5) x (-5) x (-5) x (-5) = 625
(iii) (-4)2 x (-2)3 = (-4) x (-4) x (-2) x (-2) x (-2) = – 128

RBSE Solutions

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